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arXiv · 1907.09482

Fibration structure in toric hypersurface Calabi-Yau threefolds

Yu-Chien Huang·Washington Taylor
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Abstract

We find through a systematic analysis that all but 29,223 of the 473.8 million 4D reflexive polytopes found by Kreuzer and Skarke have a 2D reflexive subpolytope. Such a subpolytope is generally associated with the presence of an elliptic or genus one fibration in the corresponding birational equivalence class of Calabi-Yau threefolds. This extends the growing body of evidence that most Calabi-Yau threefolds have an elliptically fibered phase.

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Yu-Chien Huang, Washington Taylor. 2019-07-22. Fibration structure in toric hypersurface Calabi-Yau threefolds. https://doi.org/10.1007/jhep03(2020)172

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